Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing the nutrient, they planted 10 tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in​ millimeters, were as follows:

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a) What is the point estimate of the population mean? (Round to one decimal place.)



b) Technology tells us that the margin of error for a 95% confidence interval is 2.6 millimeters. What is the 95% confidence interval? Give your answer in interval notation, smaller number first, with each number rounded to one decimal place.

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c) Why is the point estimate alone usually insufficient for statistical inference?